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Finding the Fourth Proportional to 13,506, 20,246.68 and 4,736.12

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Solution

The fourth proportional to 13,506, 20,246.68 and 4,736.12 is: 7,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506 : 20,246.68 = 4,736.12 : x
  2. Step 2: Convert to fraction form
    13,506/20,246.68 = 4,736.12/x
  3. Step 3: Cross multiply
    13,506x = 20,246.68 × 4,736.12
  4. Step 4: Simplify right side
    13,506x = 95,890,706.08
  5. Step 5: Solve for x
    x = 95,890,706.08/13,506
  6. Step 6: Final answer
    x = 7,099.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.